Question

Alex wanted to learn to surf. He bought

a surf board for $117 and spent $45 per
hour on lessons. Represent on a number
line the number of hours, x, of lessons he
can take if he has a maximum of $720 to
spend.

Answer 1

To represent the number of hours, x, of lessons Alex can take if he has a maximum of $720 to spend, we need to determine the equation that represents the cost of the lessons. We know that the surfboard cost $117 and each hour of lessons costs $45. So, the total cost equation is y = 117 + 45x. To represent this equation on a number line, we will graph the values of x on the horizontal axis and the corresponding values of y on the vertical axis and plot the points.

Step-by-step explanation:

To represent the number of hours, x, of lessons Alex can take if he has a maximum of $720 to spend, we need to determine the equation that represents the cost of the lessons. We know that the surfboard cost $117 and each hour of lessons costs $45. So, the total cost equation is y = 117 + 45x.

To represent this equation on a number line, we will graph the values of x on the horizontal axis and the corresponding values of y on the vertical axis. Then, plot the points on the number line.

For example:

• If Alex takes 0 hours of lessons (x = 0), the total cost is y = 117 + 45(0) = $117.
• If Alex takes 1 hour of lessons (x = 1), the total cost is y = 117 + 45(1) = $162.
• If Alex takes 2 hours of lessons (x = 2), the total cost is y = 117 + 45(2) = $207.
• Continue this process to find more points and plot them on the number line.